What is the BEAT FREQUENCY when 512 Hz and a 515 Hz tuning forks are sounded at the same time?

The angular distance should be

In revolution, θ = 11.53 revolution.

In radian = θ = 72.40 rad.

In degree θ = 4150.8°.

Calculation of the angular distance:

Since

Pie diameter = 8.50 in

So,  the circumference of the pie should be

P = πd = 8.50π in

And, rim of the pie rotates 308 in,

So,

1 Revolution of the pie is 8.50π in,

So, for 308 it should be

= 308 in / 8.50π in revolution

=11.53 revolution

Now in the case when when we have to find distance in radians:

1 revolution is 2πrad

So,

11.53 revolution = 11.53 × 2π = 72.40 rad.

And also, 1 revolution is 360°

So,

11.53 revolution = 11.53 × 360 = 4150.8°

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If I had access to a personal DNA machine, I would analyze my ancestry and my health condition.

Just for curiosity you can compare your DNA to your parents DNA to find whose trait you received the most. Through DNA testing one can find where their ancestors lived and which group of people they interacted with.

In terms of analyzing DNA for health condition one can identify if they have any genetic diseases and it can also be used to identify cancer in its early stages so that it can be cured. It can also be used to identify the diseases an unborn fetus might inherit.

Therefore, if I had access to a personal DNA machine, I would analyze my ancestry and my health condition.

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Because of this, race cars have streamlined bodies that enable them to go at significantly higher speeds.

As there is less surface area to push the air against, the streamlined designed car will be able to cut through the air and produce less drag or resistance. They move slowly, as opposed to autos, which are not streamlined. Because of this, race cars have streamlined bodies that enable them to go at significantly higher speeds.

In order to push against the force of the air, objects must be streamlined. Trains are made to move quickly between destinations because of their streamlined form. Even people, like swimmers, can attempt to be streamlined.

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Based on the data in the chart, it can be concluded that as mass increases, so does thermal energy, because the thermal energy of a substance is highly dependent on its temperature and mass.

Thermal energy always moves from a higher temperature area to a lower temperature area. When a block of ice comes into contact with a colder substance, such as liquid nitrogen or dry ice, thermal energy moves from the ice to the colder substance.

Because mass measures the amount of material in a sample, thermal energy is determined by the mass and temperature of the object. The more significant the mass of the object, the more particles there are in the model, and the more significant the thermal energy.

Thermal energy is the energy contained in the motion and vibration of its molecules.

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An elliptical orbit of a comet around the sun. The Pluton orbit is far from the sun's farthest distance. 51109.88 m/s is the speed when it is 6 x 1012 m from the sun.

given data

Vi=9.2104m/s is the comet's speed at d1=4.51010m.

When d2=61012m, the speed will be Vf.

Since there is no work done by the environment and the system's starting and final energies are equal, we can use:

[tex]E_{f}=E_{i}+W\\K_{f}+U_{f}=K_{i}+U_{i}+0\\1/2mv_{f}^{2}+\frac{-GMm}{d_{2}}=1/2mv_{i}^{2}+\frac{-GMm}{d_{i}}  \\v_{f}=\sqrt{v_{i}^2+2GMm[1/d_{2}-1/d_{1}]}[/tex]

Substitute the given values to find final velocity Vf

So

[tex]v_{f}=\sqrt{(9.2*10^{4}m/s )^2+2(6.7*10^{-11})(1.98*10^{30})[1/6*10^{12}-1/4.5*10^{10}]} \\[/tex]

[tex]v_{f}[/tex]=51109.88m/s

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According to the research, the correct option is true. The statement "Pushing or pulling an object that is not already moving can make that object start to move" is true.

It is about the change of position starting from a reference system from which it is observed that an object experiences.

In this sense, it is related to the displacement of a body and is produced by an imbalance between the forces that act on it, that is, the application of a force modifies the state of rest or the direction of movement.

Therefore, we can conclude that motion is the state of bodies when they change position caused by an effect acting on the bodies called force.

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Given, Speed of the sound, v=675 m/s

The wavelength of the wave, λ=15 m

Relation between speed, wavelength, and frequency of a wave is given by

Where f is the frequency of the sound.

On substituting the known values,

Which gives us,

Therefore the frequency of the sound in the given medium is 45 Hz.

Given data

*The given initial velocity is u = 0 m/s

*The given acceleration is a = 7 m/s^2

*The given final velocity is v = 25 m/s

The formula for the time taken to reach his final velocity is given by the kinematic equation of motion as

Substitute the known values in the above expression as

Thus, the time taken to reach his final velocity is t = 3.57 s

The rolling resistance of the road is 203.02lb per ton

R=P/W where W=47877lb/(2000lb/ton)=23.985 ton

R=4860lb/23.985ton

R=203.02lb per ton.

Rolling resistance, occasionally known as rolling friction or rolling drag, is the pressure resisting the movement when a frame rolls on a surface. Its miles are mainly caused by non-elastic consequences; that is, no longer all of the energy needed for deformation of the wheel, roadbed, and so on., is recovered when the stress is removed.

Tire rolling resistance is the power that your vehicle needs to send to your tires to hold movement at a steady velocity over a surface. In other words, it is the effort required to maintain a tire rolling. the principal contributor to rolling resistance is the process known as hysteresis.

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The resistance of a wire with a 1.6 mm diameter and 20 m length made of the same material is 3.14×10⁻⁷Ω−m.

Electrical resistance of a conductor with a unit cross-sectional area and unit length is called resistivity. Resistivity is a distinctive attribute of any material that may be used to compare different materials based on how well they conduct electric currents. Low conductivity is indicated by high resistance.

Given,

l= 10m= 1000mm

d= 2mm

∴radius(r)= 20.2 =0.1mm

R=10Ω

To find,

Resistivity(ρ)

ρ=R /l A

​where,

R= Resistance

l= Length of wire

A= Cross sectional area of wire

Cross sectional area of cylinder (A)=Πr²

A= π×(0.1)²

A=0.0314mm²

ρ=10(10000.0341)

ρ=0.000314Ω−mm

ρ≃3.14×10⁻⁷Ω−m

So, the resistivity of the material is equal to 3.14×10⁻⁷Ω−m.

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In between the two processes, we can see that the thermal energy of the mixture increases.

Recall that energy is the ability to do work. Now when we add the  partially melted to form a mixture of ice and ice water, we are going to increase the thermal energy of the water. This is because the water in the liquid state has a greater energy than water in the solid state.

Having see that liquid water contains more energetic particles than the the solid water, the thermal energy has increased in between the two processes.

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If the second player moved horizontally, the speed he must maintain to catch the ball is 27.67 m/s.

The range of the projectile is the maximum horizontal distance travelled by the ball.

R = (u²sin(2θ)) / (g)

where;

R = (32² x sin(2 x 30) ) / (9.8)

R = 90.49 m

The time of motion of the ball is calculated as follows;

R = uₓt

where;

R = ucosθ(t)

t = R/ucosθ

t = (90.49) / (32 cos30)

t = 3.27 seconds

If the second player moved horizontally, the speed he must maintain to catch the ball is calculated as;

R = Ut

U = R/t

U = (90.49) / (3.27)

U = 27.67 m/s

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Answer:

a black or dark viscous substance obtained as a residue in the distillation of organic materials and especially tars

Explanation:

The distance travelled due east during the trip is 875.831 meters.

The distance due west is 6.44 km (6440m) and the velocity due west is 2.6m/s. The velocity due east is 0.465m/s.

We know,

Average velocity = Total displacement/Total time

It is given that, the total average velocity is 0.465m/s.

If distance in west is W and the distance in east is E, then the displacement D is,

D = √((6440)²+(E)²)

The time T₁ in west,

T₁ = 6440/2.6 seconds

Time time T₂ in east,

T₂ = E/0.465

The total time T is,

T = T₁ + T₂

T = 6440/2.6 + E/0.465

So, putting all the values now,

Average velocity = D/T

1.37 = √((6440)²+(E)²)/(6440/2.6 + E/0.465)

On solving it further,

We get,

E = 875.831 meters.

So, the distance in east is 875.831 meters.

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Based on the principle of momentum, the momentum of the egg falling from a cliff and which shatters on hitting the ground is conserved.

Momentum is the product of the mass and the velocity of a compound.

Momentum, p = mass * velocity

Momentum is a vector quantity and its unit is kgm/s.

According to the principle of the conservation of momentum, in a system of colliding bodies, the momentum before the collision and the momentum after collision is conserved or equal.

Therefore, the momentum of the egg in the given scenario is conserved.

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A student learns that a certain comet in the solar system is considered a short-period comet. Based on this knowledge, the student most justified in concluding The comet originates between the Sun and the asteroid belt.

The Solar System's asteroid belt is a torus-shaped area roughly midway between the orbits of Jupiter and Mars. Asteroids or minor planets are the names for the vast majority of solid, irregularly shaped entities that are far smaller than planets. The term "primary asteroid belt" also applies to this asteroid belt.

A comet is a tiny, frozen object in the Solar System that begins to outgas when it approaches the Sun. Outgassing is the process through which gases are released from the comet.

The orbital durations of comets differ widely, from a few years to possibly millions of years, and they often have very eccentric elliptical orbits. The Kuiper belt or its related scattered disc is the source of short-period comets.

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The correct option is b. The one with the lowest mass.

An object's kinetic energy is determined by

k=1/2mv^2

where

m is the object's mass.

v is the object's speed.

The three missiles in this puzzle have varying masses but the same beginning kinetic energy.

The three projectiles will all have the same kinetic energy when they hit the ground because mechanical energy is conserved, assuming there is no air resistance (because the potential energy that they have lost is the same, since they have been launched from the same height, and they reach the same final altitude, the ground).

hence,

K1=k2=k3

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The propagation delay of the link due to time dilatationis 1.152 x 10¹⁶ s.

We need to know about the time dilatation to solve this problem. Time dilatation represents that time is relative between the moving and static objects.  From a static objects point of view, the time should be

t' = t / √(1 - v²/c²)

where t' is the interval time based on the static object, t is the interval time based on the moving object, v is velocity and c is the speed of light (3 x 10⁸ m/s),

From the question above, the given parameters are

v = 2.4 x 10⁸ m/s

D = 3.6 x 10⁷ m

Find the time taken based on moving objects

t = 2D . v

t = 2 . 3.6 x 10⁷ . 2.4 x 10⁸

t = 1.728 x 10¹⁶ s

Find the time interval based on static objects

t' = t / √(1 - v²/c²)

t' = 1.728 x 10¹⁶ / √(1 - (2.4 x 10⁸)²/(3 x 10⁸)²)

t' = 2.88 x 10¹⁶ s

Hence, the delay time is

Δt = t' - t

Δt = 2.88 x 10¹⁶ - 1.728 x 10¹⁶

Δt = 1.152 x 10¹⁶ s

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It is best to choose option B. When a star runs out of fuel, it can no longer undergo the merger process and dies. The primary elements of stars are helium and hydrogen.

A white dwarf star's maximum mass is determined by Chandrasekhar's limit, a sort of maximum restricted value. The Chandrasekhar limit is often valued at 1.44 times the mass of the sun, or around 2.765 1030 kg, on a global scale.

In other words, the Chandrasekhar limit is the highest figure that may possibly reach 1.44 times the mass of the sun.

When a high-mass star runs out of gas to burn, it enlarges and changes into a red supergiant. While the bulk of stars gradually fade away, the supergiant stars, often known as supernovae, demolish themselves in a massive explosion. New stars can develop as a result of massive stellar deaths.

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When a ladder with 20 ft. long is pulled along the floor away with a constant rate 1.2 ft/s, then the top of the ladder is moving toward the floor with velocity - 0.9 ft/s and there is no acceleration.

Let:

x = the distance between the bottom of the ladder from the wall

y =  the distance between the top of the ladder from the floor

When x = 12 ft, then using the Pythagorean Theorem:

x² + y² = 20²    (Equation 1)

12² + y² = 20²

y² = 20² - 12² = 16²

y = 16 ft.

Take the derivative of equation 1 with respect to t

2x . dx/dt + 2y. dy/dt = 0

Substitute x = 12, y = 16, dx/dt = 1.2 ft/s

2 . 12 . (1.2) + 2 . 16 . dy/dt = 0

dy/dt = - 0.9 ft/s

Hence, the velocity is - 0.9 ft/s

Since the floor is moving with a constant rate, the acceleration is zero.

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Gravitational constant to be G = 6.67×10−11 N⋅m2/kg2 , the mass of the earth to be me = 5.97×1024 kg , and the radius of the Earth to be re = 6.38×106 m then Gravitational force Fgrav on the satellite is 19383.7 N

Given value for constant Gravitational G = 6.67 x 10-11 N.m²/kg²

Earth mass is M = 5.97 x 1024

Mass of the satellite  m = 2440

Earth's radius  RE = 6.38 x 106 m

Height of the satellite from the surface of the Earth = H = 700 km = 700 x 103 m = 0.7 x 106 m

Radius of the satellite = R

R = RE + H

R = 6.38x106 + 0.7x106

R = 7.08 x 106 m

Gravitational force of Earth on the satellite = Fg

F, GMm R2

F,= (6.67 * 10-11)(5.97* 104) (2440) (7.08 * 106)2

Fg = 19383.7 N

Free-fall acceleration at the surface of the Earth = g = 9.8 m/s2

Weight of the satellite at the surface of the Earth = W

W = mg

W = (2440)(9.8)

W = 23912 N

Ratio of the gravitational force on the satellite to it's weight on the surface = P

P = Fg/W

p= 19383/23912

P = 0.8106

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ANSWER:

B. red giant

STEP-BY-STEP EXPLANATION:

The Sun is currently a main sequence star and will remain so for another 5 billion years. It will then expand and cool down to become a red giant, after which it will contract and heat up again to become a white dwarf.

Therefore, the correct answer is: B. red giant

The acceleration of the plane is:  -5.59 m/s²

The formula for uniformly varied rectilinear motion (UVRM) and procedure that we will use to solve this exercise is:

a = (vf - vi) /t

Where:

Information about the problem:

Applying the acceleration formula we have:

a = (vf - vi) /t

a = (0 m/s - 43.0 m/s) /7.69 s

a = (-43.0 m/s) /7.69 s

a =  -5.59 m/s²

It is a physical quantity that indicates the variation of velocity as a function of time, it is expressed in units of distance per time squared e.g.: m/sec2 ; km/h2

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According to the given statement is the train’s velocity after 14s is -7.5 m/s.

The path of a body or entity's movement is determined by its velocity. In its basic form, velocity is a scalar quantity. In definition, velocity is a vector quantity. It is the speed where at ’s dimensional. It is the migration change rate.

Initial velocity of the train, u = -4.0 m/s

Acceleration of the train, a = -0.25 m/s²

Time of motion of the train, t = 14 s

The following formula is used to determine the train's final speed:

v = u + at

v is the final velocity of the train

v = -4.0 + (-0.25 x 14)

v = -4.0 - 3.5

v = -7.5 m/s

Therefore, the train velocity of the train is -7.5 m/s.

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The temperature of the Earth is determined by the amount of solar radiation received, the amount of solar energy reflected, and the amount of heat retained by the atmosphere.

What is temperature?
The physical concept of temperature expresses in numerical form how hot or cold something is. A thermometer is used to determine temperature. Thermometers are calibrated using a variety of temperature scales, which historically defined various reference points as well as thermometric substances. The most popular scales are the Celsius scale, also known as centigrade, with the unit symbol °C, the Fahrenheit scale (°F), as well as the Kelvin scale (K), with the latter being primarily used for scientific purposes. One of the International System of Units' seven base units is the Kelvin (SI).

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Claim 2: Some of the liquid oxygen evaporated in tank 3 is the claim with the most proof based on the experiment with liquid oxygen and nitrogen.

Therefore, the reason of above statement can be explained as, that nitrogen has a lower boiling point than oxygen, the liquid nitrogen and oxygen mixture in tank 3 is slightly heated to allow nitrogen to escape. However, as gas particles can evaporate at a temperature below their boiling point provided they have enough energy, some oxygen might have escaped simultaneously when the boiling produced sufficient energy.

Thus the claim 2 is suitable option of this evidence.

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The kinetic energy of each of the following objects compare to one another as: II > I > III

As we know the kinetic energy is follows as:

K.E. = 1/2m[tex]v^{2}[/tex]

(i) Object 1

mass = 3kg

velocity = 4m/s

K.E. = 1/2m[tex]v^{2}[/tex]

K.E. = 1/2×3×4×4

K.E. = 24J

(ii) Object 2

mass = 1kg

velocity = 8m/s

K.E. = 1/2m[tex]v^{2}[/tex]

K.E. = 1/2×1×8×8

K.E. = 32J

(iii) Object 3

mass = 3kg

velocity = -3m/s

K.E. = 1/2m[tex]v^{2}[/tex]

K.E. = 1/2×3×(-3)×(-3)

K.E. = 13.5J

Therefore, the kinetic energy of each of the following objects compare to one another as: II > I > III

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